The standardized residuals given in tech10 are not the Pearson residuals but are the standardized Pearson residuals. See Agresti's Categorical Data Analysis book, Sections 3.3.1 and 4.5.5. The original article on this topic is The Analysis of Residuals in Cross-Classified Tables, Shelby J. Haberman, Biometrics, Vol. 29, No. 1 (Mar., 1973), pp. 205-220.

The advantage of the standardized Pearson residuals is that they are just like standard normal residuals, while the unstandardized Pearson residuals are less variable. For the bivariate tables these are computed by (O-E)/[sqrt(E)*sqrt(1-E/n)].

Is it true that when sampling weights are used in LCA fitting, the Pearson Chi-square statistics for model fit in the general output and for response pattern frequencies in TECH10 are no longer valid? Is that why some of the Chi-square values in TECH10 become negative?

Hi, I am running a latent class analysis with 10 binary indicators and sample weights. If the tech10 output (the bivariate residuals) does not take account of the sample weights (as mentioned in the post above) how can I assess model fit? thanks

Hello. I am running a GMM negative binomial model and I would like to examine the standardized residuals; however, the section of the output where the tech 10 results should appear is blank (except for the heading "technical 10"). Is it possible to obtain standardized residuals with the negative binomial? Thank you.

Dear Dr. Muthen, I am running a CFA model using MLR for parameter estimation. The data structure includes a booklet design (i.e., data missing at random), and both 72 categorical indicators (binary responses indicating an ability factor) and 72 continuous indicators (log-transformed response times indicating a slowness factor). To obtain model fit information for the categorical dependent variables in the model, I wanted to look at TECH10 for the standardized residuals. However, with a higher number of indicators the TECH10 Output disappeared. When I used 6, 9, or 15 indicators per factor TECH10 was regularly provided. With about 30 Items per factor it wasn’t. How do I get TECH10 in this case? Thank you in advance! With kind regards, Annette